442101210100 has 36 divisors (see below), whose sum is σ = 1046574139968. Its totient is φ = 160764076000.

The previous prime is 442101210073. The next prime is 442101210101. The reversal of 442101210100 is 1012101244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442101210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200953996 + ... + 200956195.

It is an arithmetic number, because the mean of its divisors is an integer number (29071503888).

Almost surely, 2^442101210100 is an apocalyptic number.

It is an amenable number.

442101210100 is an abundant number, since it is smaller than the sum of its proper divisors (604472929868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442101210100 is a wasteful number, since it uses less digits than its factorization.

442101210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401910216 (or 401910209 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 442101210100 its reverse (1012101244), we get a palindrome (443113311344).

The spelling of 442101210100 in words is "four hundred forty-two billion, one hundred one million, two hundred ten thousand, one hundred".